What is 27.77 percent of 11 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 11 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 11 is 100%, so we can write it down as 11=100%.
4. We know, that x is 27.77% of the output value, so we can write it down as x=27.77%.
5. Now we have two simple equations:
1) 11=100%
2) x=27.77%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
11/x=100%/27.77%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 27.77% of 11

11/x=100/27.77
(11/x)*x=(100/27.77)*x       - we multiply both sides of the equation by x
11=3.601008282319*x       - we divide both sides of the equation by (3.601008282319) to get x
11/3.601008282319=x
3.0547=x
x=3.0547

now we have:
27.77% of 11=3.0547